if theta = 45, the value of cosec ^ 2 theta is ?

Answer 1

cosec(theta)=1/sin(theta)

sin(45°)= sqrt(2)/2= 1/sqrt(2)

cosec(45°)=1/[1/sqrt(2)]

cosec(45°)=sqrt(2)

cosec^2(45°)=[sqrt(2)]^2= 2